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Finding the Fourth Proportional to 9,816, 14,724 and 2,890.40

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Solution

The fourth proportional to 9,816, 14,724 and 2,890.40 is: 4,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816 : 14,724 = 2,890.40 : x
  2. Step 2: Convert to fraction form
    9,816/14,724 = 2,890.40/x
  3. Step 3: Cross multiply
    9,816x = 14,724 × 2,890.40
  4. Step 4: Simplify right side
    9,816x = 42,558,249.60
  5. Step 5: Solve for x
    x = 42,558,249.60/9,816
  6. Step 6: Final answer
    x = 4,335.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.